Information on Result #619621
Linear OA(12845, 16394, F128, 19) (dual of [16394, 16349, 20]-code), using construction X applied to C([0,9]) ⊂ C([1,9]) based on
- linear OA(12837, 16385, F128, 19) (dual of [16385, 16348, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(12836, 16385, F128, 10) (dual of [16385, 16349, 11]-code), using the narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [1,9], and minimum distance d ≥ |{−9,−7,−5,…,9}|+1 = 11 (BCH-bound) [i]
- linear OA(1288, 9, F128, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,128)), using
- dual of repetition code with length 9 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12845, 16065, F128, 2, 19) (dual of [(16065, 2), 32085, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12845, 16065, F128, 3, 19) (dual of [(16065, 3), 48150, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(12845, 16065, F128, 4, 19) (dual of [(16065, 4), 64215, 20]-NRT-code) | [i] | ||
| 4 | Digital (26, 45, 16065)-net over F128 | [i] | ||